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Finding the Fourth Proportional to 340,596.72, 470,038.08 and 189,693.72

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Solution

The fourth proportional to 340,596.72, 470,038.08 and 189,693.72 is: 261,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,596.72 : 470,038.08 = 189,693.72 : x
  2. Step 2: Convert to fraction form
    340,596.72/470,038.08 = 189,693.72/x
  3. Step 3: Cross multiply
    340,596.72x = 470,038.08 × 189,693.72
  4. Step 4: Simplify right side
    340,596.72x = 89,163,271,936.86
  5. Step 5: Solve for x
    x = 89,163,271,936.86/340,596.72
  6. Step 6: Final answer
    x = 261,785.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.